A study of the wave dynamics of the space–time fractional nonlinear evolution equations of beta derivative using the improved Bernoulli sub-equation function approach
Abstract The space–time fractional nonlinear Klein-Gordon and modified regularized long-wave equations explain the dynamics of spinless ions and relativistic electrons in atom theory, long-wave dynamics in the ocean, like tsunamis and tidal waves, shallow water waves in coastal sea areas, and also m...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Nature Portfolio
2023-11-01
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Series: | Scientific Reports |
Online Access: | https://doi.org/10.1038/s41598-023-45423-6 |